Mathematics High School

## Answers

**Answer 1**

The steps to calculate the** fraction** of a whole number are:

1) Write the fraction as a decimal

2) **Multiply the decimal **by the whole number

3) Interpret the result

To calculate a fraction of a **whole number**, you need to follow these steps:

**Write the fraction as a decimal**: If the fraction is not already in decimal form, you will need to convert it. To do this, divide the numerator (the top number) by the denominator (the bottom number).

Multiply the decimal by the whole number: Once you have the fraction in **decimal form**, you can multiply it by the whole number you want to find a fraction of.

**Interpret the result: **The result of the calculation is the fraction of the whole number you were trying to find.

Therefore, these are the steps to calculate a fraction of a whole number

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## Related Questions

PLEASE HELP ME ASAPPP!!!!!!

### Answers

**Answer: see explanation**

**Step-by-step explanation:**

i can't do it because you did not says the numbers

How to convert acre to feet?

### Answers

Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!

a post-mix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. a random sample of 20 beverages were found to have a mean syrup content of 1.15 fluid ounces and a standard deviation of 0.025 fluid ounces. find a 90% confidence interval for the mean amount of syrup mixed with each drink.

### Answers

The 90%** confidence interval** for the mean **amount **of syrup mixed with each drink is (1.10, 1.20) fluid ounces.

The 90% **confidence interval **for the mean amount of syrup mixed with each drink is calculated using the sample mean, sample standard deviation and the t-distribution. The lower bound of the confidence interval is calculated by subtracting the t-statistic multiplied by the standard error of the mean from the s**ample mean.** The upper bound is calculated by adding the t-statistic multiplied by the standard error of the mean to the sample mean. The t-statistic is determined using the degrees of freedom, which is equal to the **sample size** minus 1. In this case, the confidence interval is (1.10, 1.20) fluid ounces. This means that we are 90% confident that the true mean amount of syrup mixed with each drink is between 1.10 and 1.20 fluid **ounces**.

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Suppose a city with population 100,000 has been growing at a rate of 3% per year. If th

The population in 21 years will be approximately

(Round to the nearest whole Number as needed)

### Answers

**Answer:**

187761 people

**Step-by-step explanation:**

The formula for population growth is

[tex]P(t)=P_{0}e^r^t[/tex], where P0 is the initial population (aka population at time 0), r is the growth rate and t is the time in years.

We can plug in 100000 for P0, 0.03 for r, and 21 for t to find P(21):

[tex]P(21)=100000e^(^0^.^0^3^*^2^1^)\\P(21)=100000e^0^.^6^3\\P(21)=187761.0579=187761[/tex]

Daniel opens a new savings account and makes an initial deposit of $1,200. If the account earns 2.5% annual interest, which equation shows how much money is in the account in 9 months?

### Answers

The total amount of money in the account after 9 months is $1,445, with an initial deposit of $1200 and 2.5%** annual interest**.

**What is annual interest?**

**Annual interest** is the interest earned or paid over the course of a **year** on any given **investment.** It is typically expressed as a **percentage rate** and is calculated by multiplying the interest rate by the **principal amount** of the investment and then dividing that amount by the number of days in the year.

**For example**, if an investor invests $1,000 in a savings account that pays a 3% annual interest rate, the investor would earn $30 in interest over the course of the year ($1,000 x 0.03 = $30).

Let P be the** principal** (initial deposit), r be the **interest rate** (2.5%), and t be the **time (**9 months).

P(1 + rt) = 1200(1 + (2.5%)(9/12))

1200(1 + 0.2125) = 1200(1.2125)

1200(1.2125) = 1445

Therefore, in 9 months, there will be $1,445 in the account.

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Answer:

400

Step-by-step explanation:

so you add it then u subtract the rest

The current balance in Marianne’s savings account is $525.The account pays 3.5% compounded annually.If she makes no deposits or withdrawals for the next 4 years, her savings account balance will be

### Answers

Answer:$ -17.89568

Step-by-step explanation:

determine the domain of the relation given by the graph below. enter you answer within braces { }.

### Answers

The relation has a **domain **of { x | -4 ≤ x ≤ 4 }.

How do you determine the relation's domain?

The domain is the set of all "x" values, whereas the **range **is the set of all "y" values in an ordered pair. Remember that the following symbols are used to denote ordered pairs: (x, y). reviewing a set of matched pairings in order.

Domain formula: What is it?

The set of all possible inputs is the domain of a function. For instance, all **real integers** other than x=0 are in the domain of f(x)=x2 and g(x)=1/x, respectively.

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what is 59 estimted by 65

### Answers

59 **estimated** by 65 would be 60.

How to estimate a number by another number ?

To **estimate **a **number** by another number means to find a value that is close to the original number but is easier to work with or understand. Estimation is a method of making quick calculations or approximations, often without the use of a calculator or other precise tool.

To estimate 59 by 65, you can use **rounding **to the **nearest ten.** To do this, round both 59 and 65 to the nearest ten, which is 60. Therefore, 59 estimated by 65 is 60.

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Damon Huard $30 spent on three gifts

### Answers

**Answer: **$10

**Step-by-step explanation:**

So, it is going to be $10 for each gift card. 30/3=10. 10x3=30.

Rewrite this problem with common denominators.

### Answers

**Answer:**

The third option, 6/15 - 5/15

**Step-by-step explanation:**

**We must find the common denominators for the terms 2/5 and 1/3**

**The common denominator for these terms are 15**

**6/15 - 5/15 = 1/15**

**6/15 - 5/15 will be the answer to the question you have.**

How much is $1 to a euro?

### Answers

As of my knowledge cutoff date of February 2023, the **exchange** rate between the US dollar and the **euro** was roughly 1 USD to 0.94 EUR, but exchange rates are subject to change over time.

The exchange rate between the US dollar (USD) and the **euro** (EUR) is constantly changing as a result of fluctuations in the global foreign exchange market. As of my knowledge cutoff date of February 2023, the exchange rate was roughly 1 USD to 0.94 EUR.

However, **exchange** rates are subject to change depending on a wide variety of economic and political factors, including inflation, interest rates, government policy, and more. Therefore, it's always a good idea to check the current exchange rate at the time of the transaction or inquiry.

Exchange rates fluctuate constantly and are affected by a wide range of factors such as global economic and political developments, trade flows, monetary policy decisions, and market speculation. As a result, the exchange rate between the US **dollar** and the euro can vary widely over time.

In general, exchange rates are quoted as the amount of one currency that can be exchanged for one unit of another currency. For example, an exchange rate of 1 USD to 0.94 EUR means that one US dollar can be exchanged for 0.94 euros.

You can check the current exchange rate between the US dollar and the euro by searching online for "USD to EUR exchange rate." This will give you the most up-to-date information based on current market conditions. Keep in mind that exchange rates are subject to change throughout the day, so you may want to check multiple sources or use a **currency** converter tool to get an accurate estimate.

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Choose the function that is graphed below

### Answers

The **exponential function** for the graph is obtained as Option A : [tex]y = 6^x[/tex].

**What is an exponential function?**

The formula for an **exponential function** is f(x) = a^x, where x is a **variable **and a is a **constant** that serves as the **function's base** and must be bigger than 0.

The **equation **for **exponential function** is in the form -

[tex]y = ab^x[/tex]

In the graph it can be seen that the **horizontal asymptote** is the x-axis.

To find a, look for the **coordinate **where the curve crosses the y axis.

In the plot, the above scenario happens at 1.

So, the value of a = 1.

To find b, look for the **coordinate** where the curve crosses the vertical line at x = 1.

In the plot, the above scenario happens at 6.

Then, b is is this number divided by a -

b = 6/1 = 6

So, the **equation** for the plot is -

[tex]y = 1(6)^x[/tex]

Therefore, the **function** is obtained as [tex]y = 1(6)^x[/tex].

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what is the probability that building will experienece excessive settlement but without bearing capacity failure

### Answers

It is impossible to predict with precision the **probability **of excessive settling without bearing **capacity **breakdown.

1. **Calculate **the soil's maximum bearing capacity.

2. Determine the building's overall load.

3. **Determine **the building's settlement.

4. Examine the estimated settlement in relation to the permitted settlement.

5. Determine the likelihood that excessive settlement will occur without a failure of the bearing capacity.

The likelihood of excessive settlement without a loss of bearing capacity is **dependent **on a number of variables, including the load on the building, the properties of the soil, and the permitted settlement. Calculating the soil's maximum bearing capacity—the highest load it can support before failing to maintain the load—is the first stage. Based on the type of soil, the soil's strength specifications, and the depth of the **foundation**, this is done. The overall load on the building must then be determined, taking into account the active load, dead load, and any additional loads.

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QUICKKKK can someone actually help ???

### Answers

**Answer:**

Factors of 28 = 1,28 2,14 4,7 => (X - Y) = 3 and so. X = 7 and Y = 4. Hence X^2 + Y^2 = 7^2 + 4^2 = 49 + 16 = 65. OR. X-Y = 3 => X= 3+Y. (3+Y)Y = 28 => Y^2

**Step-by-step explanation:**

Please help me with these questions

### Answers

The values of x and y to make the polygon a **parallelogram **are given as follows:

x = 21.y = 20.

Then the** length of VT** is given as follows:

VT = 150.

How to obtain the values of x and y?

In a parallelogram, the **diagonals **are congruent.

Then we have that RM = MW, hence the** value of x **is obtained as follows:

4x = 84

x = 84/4

x = 21.

We also have that VM = MT, hence the **value of y** is obtained as follows:

3y + 15 = 75

3y = 60

y = 60/3

y = 20.

Then the** length of VT** is obtained as follows:

VT = 2VM

VT = 150.

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Kiesha has $250 in five-dollar bills in her drawer at the bank. How many bills does she have?

### Answers

**Answer:**

50 bills

**Step-by-step explanation:**

250 divided by 5 since the money is in 5 dollar bills, equal to 50.

Can you find the mistake 12345 answer?

### Answers

**Answer: no sorry it looks fine to me**

nope, it looks good to me

Volume of a cylinder r=6yd h=15yd use 3.14 as pi and round to the nearest tenth

### Answers

V = 1297.04m³

hope this helps!

How Many Tablespoons in 4 Oz

### Answers

There are 8 **tablespoons **in 4 ounces. 1 ounce equals 2 tablespoons, so 4 **ounces **equals 8 tablespoons.

One **ounce **is equal to two tablespoons, so four ounces is equal to eight tablespoons. To convert ounces to **tablespoons**, multiply the number of ounces by two. Four ounces multiplied by two is eight tablespoons. If you need to **convert **tablespoons to ounces, divide the number of tablespoons by two. For example, if you have 16 tablespoons, divide 16 by two to get eight ounces. Converting ounces to tablespoons can be useful when measuring ingredients for recipes. In baking, for example, accuracy is important to get the desired results. **Measuring **out ingredients with tablespoons is much more precise than measuring with a measuring cup, which is usually sold in ounces. So if a recipe calls for four ounces of something, it would be best to measure it out with tablespoons instead of a measuring cup.

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need help please b jbuguiguguyguguguguy

### Answers

a)The rate of change for **linear function** A is 1/2..

b) The **rate of change** for linear function B is 1.

c)The linear function B has a **greater **rate of change than linear function A.

**What is linear function?**

A** linear function **is a type of mathematical function that can be written in the form of y = mx + b, where "x" and "y" are variables, "m" is the slope or rate of change of the function, and "b" is the** y-intercept**, which is the point where the **function **intersects with the y-axis.

In a linear function, as the value of the **input variable **(x) changes, the value of the output variable (y) changes at a **constant **rate determined by the **slope **of the function. This constant rate of change makes linear functions very useful for modeling real-world phenomena, such as the growth of a population, the rate of change of a stock price, or the speed of a moving object.

a. **Rate of change **for linear function A:

The **function **is given as:

Output = Input / 2

Let's find the rate of change by calculating the **slope **of the line. We can see that the input increases by 6 units (from -6 to 0), and the corresponding output increases by 3 units (from -2 to 1). Therefore, the slope (rate of change) is:

Slope = (change in output) / (change in input) = (1 - (-2)) / (0 - (-6)) = 3/6 = 1/2

So, the rate of change for **linear function** A is 1/2.

b. Rate of change for linear function B:

The function is given as:

y = x

Let's find the **rate of change** by calculating the slope of the line. We can see that the input increases by 6 units (from -6 to 0), and the corresponding output increases by 6 units (from -6 to 0). Therefore, the **slope **(rate of change) is:

Slope = (change in output) / (change in input) = (0 - (-6)) / (0 - (-6)) = 6/6 = 1

So, the rate of change for linear function B is 1.

c. **Comparison **of rates of change:

We can see that the rate of change for linear function A is 1/2, while the rate of change for **linear function **B is 1. Therefore, the linear function B has a greater rate of change than linear function A.

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Find an equation for the line that passes through the point P(3,0) and is parallel to the line âˆ’x+5y=âˆ’6. Use exact values.

### Answers

An **equation** for the **line** that passes through the point P(3,0) and is **parallel** to the line −x+5y=−6 is y = (1/5)x - (3/5).

To find an **equation** for the **line** that passes through the point P(3,0) and is **parallel** to the line −x+5y=−6, we need to find the slope of the given line, since parallel lines have the same slope, and then use the point-slope form of the **equation** of a line.

First, we need to rearrange the given line to the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

−x + 5y = −6 5y = x - 6 y = (1/5)x - (6/5)

Therefore, the slope of the given line is 1/5.

Since the **line** we want to find is **parallel** to the given line, it must have the same slope of 1/5.

Now we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is the given point on the **line** and m is the slope we just found.

Substituting the given values, we get:

y - 0 = (1/5)(x - 3)

Simplifying, we get:

y = (1/5)x - (3/5)

Therefore,

An **equation** for the **line** that passes through the point P(3,0) and is **parallel** to the line −x+5y=−6 is y = (1/5)x - (3/5).

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The lengths of the sides of a triangle are 2a + 3, a - 2, and 3a. Write a simplified expression for the perimeter of the triangle

### Answers

**Answer: The perimeter of a triangle is the sum of the lengths of its three sides. Thus, the perimeter of the triangle with sides of length 2a + 3, a - 2, and 3a can be expressed as:**

**Perimeter = (2a + 3) + (a - 2) + (3a)**

**Simplifying this expression, we can combine like terms:**

**Perimeter = 6a + 1**

**Therefore, the simplified expression for the perimeter of the triangle is 6a + 1.**

**Step-by-step explanation:**

How many of 1 pints to gallons?

### Answers

A pint is a unit of volume used to measure liquids. It is commonly used in the United States and the United Kingdom. There are 0.5 (1/2) **gallons **in 1 pint.

A **gallon **is also a unit of volume, but it is much larger than a pint. In the United States, a gallon is equal to 128 fluid ounces, while in the UK, a gallon is equal to 160 **fluid ounces.**

To convert pints to gallons, we need to use the conversion factor between the two units. As mentioned earlier, 1 gallon is equal to 8 pints. This means that **1 pint** is equal to 1/8th of a gallon, or 0.125 gallons.

So, to convert any given number of pints to gallons, we can multiply the number of pints by the **conversion factor, **which is 0.125. For example:

2 pints = 2 x 0.125 gallons = 0.25 gallons

4 pints = 4 x 0.125 gallons = 0.5 gallons

6 pints = 6 x 0.125 gallons = 0.75 gallons

Therefore, there are 0.5 (1/2) gallons in 1 pint.

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You have represented functions as ordered pairs, mappings, sequences, tables, equations, and graphs. How can you compare functions when they are displayed using different representations?

### Answers

See below for how the **functions **in their different **representations **can be compared

How to compare the functions

From the question, we have the following parameters that can be used in our computation:

Representations = ordered pairs, mappings, **sequences**, tables, **equations**, and graphs

When **functions **are displayed using different representations, there are various ways to compare them:

The **domain **and range: The domain and range of a function provide information about the inputs and outputs of the function. Evaluating **function **values: Given an input value, evaluating the function using its different representations can help to compare them.

Other possible ways are

Observing **patterns **and behaviorAnalyzing equationsUsing **transformation **rules

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which equation can be used to find the value of x?

### Answers

**Answer:**

3rd

**Step-by-step explanation:**

corner A + corner B + corner C = 180 degrees (in triangle)

so the correct answer is:

x + 68 + 72 = 180

The faces of a net are labeled A, B, C, D, E, and F as shown below.

### Answers

A and C, E and F, and B and D are **parallel **faces.

All the **figures **below show the solid formed from the net:

c and d are correct.

What are parallel lines?

**Lines **in a plane that are consistently spaced apart are known as parallel lines. **Parallel **lines don't cross each other.

Given:

The **faces **of a **net **are **labeled **as A, B, C, D, and F.

(a) When the net is folded into a **solid**,

A and C, E and F, and B and D are **parallel **faces.

(b) All the **figures **below show the solid formed from the net:

c and d are correct.

Therefore, all the required **values **are given above.

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what is the difference between 9 5/8 and 7 13/16 I need help ASAP with work explanation because of paper and my brain won't compute anything The last problem of the work sheet

### Answers

Answer is 1 13/16

Step by step

Difference means to subtract

9 5/8 minus 7 13/16

Change the first fraction so the denominator is the same as the second (16)

5/8 = 10/16

Now we have

9 10/16 - 7 13/16

Since we can’t subtract 13 from 10, we have to borrow a whole number from 9, and call it 16/16. Add 16/16 to 10/16 now we have 26/16.

8 26/16 - 7 13/16

Subtract

= 1 13/16

HELLPPPPP I NEED HELP W BOTH OF THESE ASAP ILL GIVE BRAINLIEST !!!!!!

### Answers

**Answer:**

I would help but idl how to do that

**Step-by-step explanation:**

...

Absolute Value for the first one second one is Exponential

Which graph represents the solution to the inequality below? 8 - 2x > 12

### Answers

The solution to the **inequality** 8 - 2x > 12 is x < -2, which can be represented on a number line with a closed circle at -2 and shading to the left of the circle.

**What is inequality?**

In mathematics, an **inequality** is a mathematical statement that compares the values of two expressions using** inequality symbols **such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). An inequality represents a range of values that satisfy the condition, rather than a single value like **an equation**.

** For example**, "x > 5" is an inequality which means that x can take any value greater than 5, while "y ≤ 10" means that y can take any value less than or equal to 10. Inequalities are commonly used in **algebra, calculus,** and many other branches of mathematics to describe relationships between **variables** or sets of values.

To solve the **inequality** 8 - 2x > 12, we can start by subtracting 8 from both sides to get:

-2x > 4

Then, divide both sides by -2, remembering to reverse the direction of the inequality as dividing by a negative number:

x < -2

This means that any value of x that is less than -2 will make the inequality true. To graph this on a number line, we can plot a closed circle at -2 (since x cannot equal -2) and shade to the left of the circle to represent all the values of x that satisfy the inequality.

Here is a graph of the solution:

--------●=====================================================

-2

The closed circle at -2 indicates that x is not equal to -2, and the shaded area to the left of the circle represents all the values of x that are less than -2 and therefore satisfy the inequality.

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The box plot represents the number of students who used a computer in the media center in 12 days.

A box plot uses a number line from 28 to 86 with tick marks every 2 units. The box extends from 48 to 70 on the number line. A line in the box is at 62.5. The lines outside the box end at 32 and 81. The graph is titled Computer Use, and the line is labeled Number of Students.

Determine which of the following is the five-number summary of the data.

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81

Min: 35, Q1: 48, Median: 61.5, Q3: 70, Max: 79

Min: 30, Q1: 44, Median: 60, Q3: 70, Max: 82

Min: 32, Q1: 48, Median: 61, Q3: 70, Max: 81

### Answers

Therefore, the five-**number** summary of the data is:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.

Is it possible to define the word "number"?

A** number** can be a measurement—for example, John Cena weighs 275 lbs.—or it can be a count—for example, when we say, "3, 2, 1, GO!" while running. There are fractions such as 22/7 in addition to decimals such as 3.14.

The five-number summary consists of the minimum **value**, first quartile (Q1), median, third quartile (Q3), and maximum value of the dataset.

From the given information about the box plot, we have:

Minimum value: 32

Q1: 48

Median: 62.5

Q3: 70

Maximum value: 81

Therefore, the five-number **summary** of the data is:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.

So, the correct option is:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.

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